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Finding the Fourth Proportional to 119,367.96, 178,811.65 and 55,235.71

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Solution

The fourth proportional to 119,367.96, 178,811.65 and 55,235.71 is: 82,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367.96 : 178,811.65 = 55,235.71 : x
  2. Step 2: Convert to fraction form
    119,367.96/178,811.65 = 55,235.71/x
  3. Step 3: Cross multiply
    119,367.96x = 178,811.65 × 55,235.71
  4. Step 4: Simplify right side
    119,367.96x = 9,876,788,444.02
  5. Step 5: Solve for x
    x = 9,876,788,444.02/119,367.96
  6. Step 6: Final answer
    x = 82,742.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.